𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local cohomology, arrangements of subspaces and monomial ideals

✍ Scribed by Josep Àlvarez Montaner; Ricardo Garcı́a López; Santiago Zarzuela Armengou


Book ID
108303546
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
251 KB
Volume
174
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Local Cohomology at Monomial Ideals
✍ Mircea Mustaţa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We prove that if B ⊂ R = k[X 1 , . . . , Xn] is a reduced monomial ideal, then d] , R), where B [d] is the dth Frobenius power of B. We give two descriptions for H i B (R) in each multidegree, as simplicial cohomology groups of certain simplicial complexes. As a first consequence, we derive a relati

Local Cohomology of Stanley–Reisner Ring
✍ Victor Reiner; Volkmar Welker; Kohji Yanagawa 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 224 KB

We study the local cohomology modules H k ⌬ of the Stanley᎐Reisner ring w x k ⌬ of a simplicial complex ⌬ with support in the ideal I ; k ⌬ corresponding ⌺ to a subcomplex ⌺ ; ⌬. We give a combinatorial topological formula for the multigraded Hilbert series, and in the case where the ambient comple

Cohomology on Toric Varieties and Local
✍ David Eisenbud; Mircea Mustaţa; Mike Stillman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 295 KB

In this note we describe aspects of the cohomology of coherent sheaves on a complete toric variety X over a field k and, more generally, the local cohomology, with supports in a monomial ideal, of a finitely generated module over a polynomial ring S. This leads to an efficient way of computing such